Carla Bruni Films Woody Allen Movie in Paris with Owen Wilson

Carla Bruni-Sarkozy, whose accomplishments already include supermodel, singer-songwriter, and French First Lady, has another impressive addition to her resume: actress.

Dressed in a white blouse and jeans, Bruni-Sarkozy stepped before cameras alongside Owen Wilson in Paris Tuesday afternoon in a film directed by Woody Allen. The scenes, shot around the Pantheon in Paris’s fifth arrondissement, will appear in Allen’s current project, Paris In Midnight.

“Carla and Woody got along incredibly well on the set,” a source tells PEOPLE. “They talked constantly and laughed quite a lot between takes. Owen as well.”

The source says Bruni-Sarkozy’s first day of shooting lasted nearly five hours and included many takes. “They must have shot the same set up, where she walks along holding a baguette in her hand going into a supermarket … around 32 [times.]”

Allen proposed a small role to Bruni-Sarkozy in 2009, and then met with her and her husband, French President Nicolas Sarkozy, last summer at the Elysées Palace to discuss the cameo role.

Paris In Midnight is a 1920s Jazz-Age period costume piece featuring Wilson, Marion Cotillard and Adrian Brody told largely in flashbacks. Bruni-Sarkozy is playing the director of a Paris museum with Oscar winner Cotillard playing her subordinate. “Carla has a tiny role in the film,” says a member of her entourage. “In any case, she won’t be stealing the spotlight from the other actors.”

Sources tell PEOPLE that Bruni-Sarkozy, 42, is expected to do another half-day of shooting with Cotillard before joining her husband on vacation.

In November, Bruni-Sarkozy, officially announced that she’d taken the part, but said she wasn’t expecting to be perfect.

“I go into everything blindly, or I’d never do anything at all,” she said during a television interview on France’s Canal+. “I am not an actress at all. Maybe I’ll be completely hopeless, but I can’t miss an opportunity like this one in my life. When I’m a grandmother, I’d like to be able to say I made a film with Woody Allen.”